Abstract

Abstract In this paper we consider non-linear nondifferentiable multiobjective fractional programming problem in which numerator of each component of the objective function contains a term involving square root of a certain positive semi-definite quadratic form. Necessary and sufficient conditions for a feasible point to be properly efficient are established. A dual is also formulated. Weak and Strong duality theorems are given in the framework of Hanson-Mond classes of functions.

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